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Simplifying 4z + -5x + 8 = 10 + 2x Reorder the terms: 8 + -5x + 4z = 10 + 2x Solving 8 + -5x + 4z = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -5x + -2x + 4z = 10 + 2x + -2x Combine like terms: -5x + -2x = -7x 8 + -7x + 4z = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -7x + 4z = 10 + 0 8 + -7x + 4z = 10 Add '-8' to each side of the equation. 8 + -7x + -8 + 4z = 10 + -8 Reorder the terms: 8 + -8 + -7x + 4z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -7x + 4z = 10 + -8 -7x + 4z = 10 + -8 Combine like terms: 10 + -8 = 2 -7x + 4z = 2 Add '-4z' to each side of the equation. -7x + 4z + -4z = 2 + -4z Combine like terms: 4z + -4z = 0 -7x + 0 = 2 + -4z -7x = 2 + -4z Divide each side by '-7'. x = -0.2857142857 + 0.5714285714z Simplifying x = -0.2857142857 + 0.5714285714z
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